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Non polyhedral convex envelopes for 1-convex functions
No full textIn this paper we discuss how to derive the non polyhedral convex envelopes for some functions, called 1-convex throughout the paper, over boxes. The main result is about n-dimensional 1-convex functions, but we get to it by first discussing in detail some special cases, namely functions (Formula presented.), (Formula presented.), and, next, more general trivariate functions. The relation between the class of functions investigated in this paper and other classes investigated in the existing literature is discussed
Polyhedral subdivisions and functional forms for the convex envelopes of bilinear, fractional and other bivariate functions over general polytopes
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Convergence and first hitting time of simulated annealing algorithms for continuous global optimization
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